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Information Journal Paper

Title

DEGREE REDUCTION OF DISK WANG-BEZIER TYPE GENERALIZED BALL CURVES

Pages

  33-49

Abstract

 A disk WANG-BEZIER TYPE GENERALIZED BALL CURVE is a WANG-BEZIER TYPE GENERALIZED BALL CURVE whose control points are disks in a plane. It can be viewed as a parametric curve with error tolerances. In this paper, we discuss the problem of DEGREE REDUCTION of disk WANG-BEZIER TYPE GENERALIZED BALL CURVE, that is, bounding disk WANG-BEZIER TYPE GENERALIZED BALL CURVEs with lower degree disk WANG-BEZIER TYPE GENERALIZED BALL CURVEs. We propose an algorithm to solve this problem. The algorithm starts by finding an OPTIMAL APPROXIMATION to the center curve of the original disk WANG-BEZIER TYPE GENERALIZED BALL CURVE, which is served as the center curve of the degree reduced disk WANG-BEZIER TYPE GENERALIZED BALL CURVE. Then the radius of the degree reduced disk WANG-BEZIER TYPE GENERALIZED BALL CURVE is computed by solving some linear programming problems, and for which analytic solutions are obtained.

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    Cite

    APA: Copy

    BAKHSHESH, DAVOOD, & ESFAHANI, SEYYED ABDOL HAMID. (2012). DEGREE REDUCTION OF DISK WANG-BEZIER TYPE GENERALIZED BALL CURVES. JOURNAL OF ADVANCES IN COMPUTER RESEARCH, 3(1), 33-49. SID. https://sid.ir/paper/328690/en

    Vancouver: Copy

    BAKHSHESH DAVOOD, ESFAHANI SEYYED ABDOL HAMID. DEGREE REDUCTION OF DISK WANG-BEZIER TYPE GENERALIZED BALL CURVES. JOURNAL OF ADVANCES IN COMPUTER RESEARCH[Internet]. 2012;3(1):33-49. Available from: https://sid.ir/paper/328690/en

    IEEE: Copy

    DAVOOD BAKHSHESH, and SEYYED ABDOL HAMID ESFAHANI, “DEGREE REDUCTION OF DISK WANG-BEZIER TYPE GENERALIZED BALL CURVES,” JOURNAL OF ADVANCES IN COMPUTER RESEARCH, vol. 3, no. 1, pp. 33–49, 2012, [Online]. Available: https://sid.ir/paper/328690/en

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